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Finding the Fourth Proportional to 345.79, 477.26 and 205.99

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Solution

The fourth proportional to 345.79, 477.26 and 205.99 is: 284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.79 : 477.26 = 205.99 : x
  2. Step 2: Convert to fraction form
    345.79/477.26 = 205.99/x
  3. Step 3: Cross multiply
    345.79x = 477.26 × 205.99
  4. Step 4: Simplify right side
    345.79x = 98,310.79
  5. Step 5: Solve for x
    x = 98,310.79/345.79
  6. Step 6: Final answer
    x = 284.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.